The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00

is collected. How many children and how many adults attended?

Answers

Answer 1

Answer:

700 children and 1600 adults.

Step-by-step explanation:

Given:

The admission fee at a local zoo is $1.50 for children and $4.00 for adults.

On a certain day, 2300 people enter the zoo and $7,450.00 is collected.

Question asked:

How many children and how many adults attended?

Solution:

Let number of children enter the zoo = [tex]x[/tex]

Then number of adults enter the zoo = [tex]2300-x[/tex]

Total collection =  $7,450

Collection from children + Collection from adults = 7450

[tex]1.50\times x+4(2300-x)=7450\\ \\[/tex]

[tex]1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\[/tex]

Subtracting both sides by 9200

[tex]-2.5x+9200-9200= 7450-9200[/tex]

[tex]-2.5x=-1750[/tex]

Minus is canceled by minus.

[tex]2.5x=1750[/tex]

Dividing both sides 2.5

[tex]x=700[/tex]

Number of children enter the zoo = [tex]x[/tex] = 700

Number of adults enter the zoo = [tex]2300-x[/tex] = 2300 - 700 = 1600

Thus, 700 children and 1600 adults attended the local zoo on that day.


Related Questions

Solve: 2x > 18
x < 9
x > 9
x > 36
x < 36

Answers

Answer:

the answer is X > 9

Step-by-step explanation:

you divide move the 2 to the other side and divide by 18

Use the graph to identify the independent and the dependent variable. Check all that apply. The two variables are Eli and 5. The two variables are meters and seconds. Meters are graphed on the x-axis. Meters are graphed on the y-axis. Seconds is the independent variable. Seconds is the dependent variable.

Answers

Answer: B D E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

sixty-three less than 15 times a number is 72. what is the number?

Answers

Answer:

-3/5

Step-by-step explanation:

First represent this with numbers. Less means subtraction -, times means multiplication *, is means equals =.

And let's represent "a number" with x.

63 - 15x = 72

Solve for x. First subtract 63 from both sides.

-15x = 72-63

-15x = 9

x = -9/15 = -3/5

Answer:

-3/5

Step-by-step explanation:

The equation would be represented as 63 - 15 x X = 72

To further simplify the problem : 63 - 15x = 72

Then you subtract

- 15x = 9

- 3/5

HELP PLEASE!!! ASAP 12 POINTS

Answers

Answer:

c=−3 or c=7

Step-by-step explanation:

Step 1: Cross-multiply.

c/3= 7/c−4

c*(c−4)=(7)*(3)

c2−4c=21

Step 2: Subtract 21 from both sides.

c2−4c−21=21−21

c2−4c−21=0

Step 3: Factor left side of equation.

(c+3)(c−7)=0

Step 4: Set factors equal to 0.

c+3=0 or c−7=0

c=−3 or c=7

what is the distance between the points
(1, -6) and (-5,2)?

10 units

9 units

5.6 units

7.2 units

Answers

Answer:

10 units

Step-by-step explanation:

Use distance formula

distance D = root (  (1 - -5)^2  + (-6 - 2)^2 )

D = root (6^2  + 8^2)  =   root (100) = 10

HELP ILL GIVE 15 POINTS!!!!!!!!!!!!

Answers

Answer:

1 i think

Step-by-step explanation:

Answer:1 hope this helped

Which expression is equal to 7/8
A. 7 divided by 8
B. 8 x 7
C. 8 divided by 7
D. 7 x 8

Answers

Answer: A. 7 divided by 8.

Step-by-step explanation:

7/8 is the same as saying seven divided by 8.

Final answer:

The correct answer to the question: 'Which expression is equal to 7/8?' is A. 7 divided by 8. This is because the '/' in the fraction 7/8 represents division, so 7/8 is the same as '7 divided by 8'.

Explanation:

In Mathematics, when dealing with fractions, division, and multiplication, it's crucial to understand their relationships. The symbol '/' in a fraction actually represents division. So, the fraction 7/8 can be interpreted as '7 divided by 8'. Therefore, the correct answer to your question is: 'Which expression is equal to 7/8?' is A. 7 divided by 8.

On the other hand, options B and D (8 x 7, 7 x 8) represent multiplication and C (8 divided by 7) is a different division operation where 8 is divided by 7, not 7 by 8.

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Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5

Answers

Answer: 34/10=3.4 The estimated quotient is 3.4

Step-by-step explanation: Basically,  you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10.  34 divided by 10 is 3.4.

The quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

What is Quotient of Two Numbers?Quotient of a two numbers, "a" and "b" equals a/b.Quotient means division.

Therefore, the quotient between 33.7 and 9.5 would be:

33.7/9.5 = 3.547 (division).

We are asked to round to the nearest whole number.

Therefore, the quotient of 33.7/9.5, rounded to the nearest whole number is: 4.

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A bag has 6 RED marbles and 9 Blue marbles in it. What is the ratio probability of pulling a Red marble out of the bag ?

Answers

Answer:

6:9

Step-by-step explanation:

6:9 or when u simplify it’s 2:3

40 POINTS. WILL AMRK BRAINLIEST!!! NEED ASAP
Dave's sister baked 3 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one twelfth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?

Answers

Answer:

The answer is 34.75% because:

Step-by-step explanation:

36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=

(PLEASE MARK ME BRAINLIEST!!!)

Answer:

6

Step-by-step explanation:

(1/3) + (1/4) + (1/6) + (1/2)

5/6

At max, ⅚ of the pies contain atleast one of these ingredients

1 - ⅚ = ⅙

Atleast ⅙ of them don't contain any

⅙ × 3 dozen

⅙ × 36

6

G(x)=2x-5 h(x)=4x+5 find g(3)-h(3)

Answers

Answer:

-16

Step-by-step explanation:

G(x)=2x-5 h(x)=4x+5

g(3)-h(3)

g(3) = 2(3) -5 = 6-5 =1

h(3) = 4(3) +5 = 12 +5 = 17

g(3)-h(3) = 1-17 = -16

Answer:

-16

Step-by-step explanation:

G(x)=2x-5

G(3)=2(3)-5

=6-5

=1

H(x)=4x+5

H(3)=4(3)+5

=12+5

=17

G(3)-H(3)

1-17

=-16

Therefore the final answer is -16

I honestly have no clue how to do these

Answers

Answer:

[tex]-2^{2} -4(1)(5)[/tex]

so the answer would be c.

Step-by-step explanation:

The discriminant is the following equation:

[tex]b^{2} -4ac[/tex]

You just simply plug in the values of the coefficients.

[tex]0=x^{2} -2x+5[/tex]

a = 1 (first terms coefficient)

b = -2 (second terms coefficient)

c = 5 (last terms coefficient)

Which type of triangle can have only acute angles?
equilateral

isosceles

scalene

Answers

Answer:

Equilateral triangles can have only acute angles because acute angles means less than 90° so every angles in equilateral triangle have 60°

I
If f(x) = 2x² - x -9 , find:
a. f(-2)
b. f(x-2)
c. r?

Answers

Answer:

[tex]f(x) = 2 {x}^{2} - x - 9 \\ \\ a) \: plug \: x = - 2 \\ f( - 2) = 2 \times {( - 2)}^{2} - ( - 2) - 9 \\ f( - 2) = 2 \times 4 + 2 - 9 \\ f( - 2) =8 + 2 - 9 \\ f( - 2) =10 - 9 \\ \huge \red{ \boxed{ f( - 2) =1}} \\ \\ b) \: \: plug \: x = x - 2 \\ f(x - 2) = 2 {(x - 2)}^{2} - (x - 2) - 9 \\ f(x - 2) = 2 {( {x}^{2} - 4x + 4 )} - x + 2- 9 \\ f(x - 2) = 2 {x}^{2} - 8x + 8 - x + 2- 9 \\ \purple{ \boxed{\bold{f(x - 2) = 2 {x}^{2} - 9x + 1}}} \\ \\ c) \: \: plug \: x = r \\ \orange{\boxed{\bold{f(r) = 2 {r}^{2} - r - 9}}}[/tex]

Solve and check. Identify any extraneous solutions.

Answers

Answer:

w=1  There are no extraneous solutions

Step-by-step explanation:

Multiply each side by 10w

10w ( 5/2w - 3/5w ) = 19/10 * 10w

Distribute

5*5 - 3*2 = 19w

25-6 = 19w

19 = 19w

Divide each side by 19

19/19 = 19w/19

1= w

Estimate the solution to the system of equations 2x+3y=6 -4x+3y=12

Answers

The solution of the system is x = - 1 and y = 8/3.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

We have a system of equations,

2x+3y=6  {equation 1}

-4x+3y=12  {equation 2}

Subtracting equation 2 to equation 1,

2x - (-4x) = 6 - 12

6x  = - 6

x = - 1.

And y = 8/3

Therefore, the solution is x = - 1 and y = 8/3.

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A basketball player has 45 steals, 72 assists, 90 rebounds, and 432 points. What is
the ratio of rebounds to steals?
оооо

Answers

Answer:

5:24

Step-by-step explanation:

We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have

90:432

Simplification:

Dividing both sides by 2 we obtain

45:216

Dividing both sides of the above ratio by 3 we obtain

15:72

Dividing both sides of the above ratio further by 3 we obtain

5:24

Therefore, rhe simplified ratio of rebounds ro steals is 5:24

Which statements are true regarding f(x) = 10 ? Check all that apply.
x+ 5
The domain of f(x) is (-00,-5) U (-5,0).
The range of f(x) is (0, 2) U (2, oo).
The x-intercept is at (-5,0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = -5.
The end behavior is x - -00, f(x) - 0 and x - 00, f(x) - 0.

Answers

Answer: A,D,E,F on Edge

Explanation:

yes

Final answer:

The true statements regarding the function f(x)=10/(x+5) are that the domain excludes x=-5, there is a vertical asymptote at x=-5, the y-intercept is at (0,2), and the end behavior is such that as x approaches negative or positive infinity, f(x) approaches 0. There are no x-intercepts, and the range is all real numbers except 0.

Explanation:

The function given is f(x) = \frac{10}{x+5}. To analyze the properties of this function, we need to understand its behavior when x approaches certain values and its graph within the given restrictions. Let's check each statement given:

The domain of f(x) is (-∞, -5) U (-5, ∞). This means x can be any real number except -5, where the function would be undefined due to division by zero, indicating there is a vertical asymptote at x = -5.The range of f(x) is all real numbers since as x changes, the value of f(x) can take any real number except 0; there are no other restrictions imposed on f(x) by the function itself.The x-intercept does not occur at (-5,0) because there the function is undefined. Actually, the function cannot have an x-intercept because f(x) is never zero for any real value of x.The y-intercept is (0,2), which can be found by plugging x=0 into the function, yielding f(0) = \frac{10}{0+5} = 2.There is indeed a vertical asymptote at x = -5 since the function is undefined at this point and the values of f(x) grow without bound as x approaches -5.The end behavior suggests that as x approaches negative or positive infinity, f(x) approaches 0. This is because the numerator remains constant, and as the denominator grows larger in magnitude, the overall value of the fraction diminishes towards zero.

Plz answer i will give brainiest to the first person who answers this correctly Plzzz helppppp!!!!!

Answers

Answer:

The correct answer is D

Step-by-step explanation:

If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.

Good luck!

What transformation was made to ABC?

Answers

Answer:

REFLECTION

Step-by-step explanation:

The triangle ABC was reflected over the x-axis to get triangle A'B'C'.

SHOW FULL WORK FOR BRAINLY. make the answer actually make sense

Answers

Answer:

B, 7 units.

Step-by-step explanation:

Since points K and L have the same x value, their only difference in location is with their y coordinate. The difference between the first y coordinate (5) and the second y coordinate (-2) is 5-(-2)=7 units, which is the length of KL. Hope this helps!

Answer:

7

Step-by-step explanation:

To solve for this equation, we are going to use the distance formula, or what is known as:

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\[/tex]

Solving for distance is easier to do with perfect squares, in which this one is. If you're ever wondering which way to arrange the x2-x1 it doesn't matter how you put it, just be sure to put both x and y in the same order.

[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\K(4,5)\\L(4, -2)\\\sqrt{(4 -4)^{2}+ (-2 -5)^{2} }\\\sqrt{(0)^{2}+ (-7)^{2} }\\\sqrt{(0)+ (49) }\\\sqrt{49} = 7[/tex]

I am happy to help with any other questions you might have in the future and I will continue to work hard in trying to provide the best answers I can :)

A spinner is divided into 4 equal parts. 1 part is colored red, 2 parts are colored blue, and 1 part is colored yellow. The spinner is spun 1000 times. Select all of reasonable possible outcomes

Answers

The sections on the spinner are used to illustrate probability

The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

How to determine the possible outcomes

The sections in the spinners are:

Red = 1Blue = 2Yellow = 1Total = 4

From the above parameters, the probability of each section is:

P(Red) = 1/4

P(Blue) = 1/2

P(Yellow) = 1/2

When the spinner is spun 1000 times, the expected outcomes are:

Red = 1/4 * 1000 = 250

Blue = 1/2 * 1000 = 500

Yellow = 1/4 * 1000 = 250

From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same

Read more about probabilities at:

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I will make you Brainliest, just help me please!!!

Gabriel is investigating the forces that result from contact. All of the following are types of contact forces, except which of the following? Electrostatic force, Air resistance, Spring compression, Friction force

Answers

Answer:

Electrostatic force

Step-by-step explanation:

The answer is Electrostatic force because physical contact isn't required here.

Find the coordinates of point B on AC such that AB is 1/4 of AC

will give brainliest answers to the first who answers correctly

Answers

Find the vertical and horizontal difference between the two given points:

Horizontal  is the Y values: 4 - -4 = 4+4 = 8

Vertical is the X values 7 - -1 = 7+1 = 8

Multiply the changes by the ratio:

Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)

8 * 1/4 = 2

AC in the horizontal and vertical direction is 8 units. AB in the horizontal and vertical direction is 1/4 of 8 which is 2 units. To find the coordinates of B on the graph, move 2 units to the left and 2 units down. We lie on the point (5, 2).

Best of Luck!

At a back to school sale, backpacks are marked down 15%. If the original price was $34, then what is the sale price?

Answers

Answer:

$28.90

Step-by-step explanation:

If it is marked down 15% then that means it is sold at 85% of the original price

x/34=85/100

cross multiply both fractions

100x=2890

x=28.90

Answer:

$28.90

Step-by-step explanation:

take 34 and multiply that by .15, that would get you 5.1

take 34 and subtract 5.1 and that should get you your new price

Evaluate the expression.26
A.26
B.12
C.26
D.36
C.64

Answers

The expression [tex]\(2^6\)[/tex] means 2 raised to the power of 6. It indicates multiplying 2 by itself six times. So, [tex]\(2^6\)[/tex] is equal to 64. The correct answer is C. 64.

It seems like the expression you've written is [tex]2^{6}[/tex], which means 2 raised to the power of 6. Let's evaluate this expression:

[tex]\[ 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \][/tex]

So, the correct answer is:

[tex]\[ \text{C. 64} \][/tex]

Q- Evaluate the expression  [tex]2^{6}[/tex].

A. 26

B. 12

C. 64

D. 36

The graph of y = -x 2 + 3x - 2 is shown. The ZERO(S) of this function is/are

Answers

Answer:

x=2 , 1

Step-by-step explanation:

the zeros are the value of X

-x+2x+x-2

-x(x-2)+x-2

(x-2)×(x+1)

x = 2 , 1

Vanessa draws one side of an equilateral triangle ABC on the coordinate plane at points A(-2, 1) and B (4, 1). What are the two possible coordinates of vertex C? Round to the nearest tenth.

Answers

Answer:

two vertex are: (1 , 6.2) , (1 , - 4.2)

Step-by-step explanation:

A(-2, 1) and B (4, 1)    AB is a parallel segment with  x axis

The 3rd vertex P (x , y) will locate at the mid point of AB

x = (-2) + (4 - (-2)) /2 = 1       P (1 , y)

length AB = 4 - (-2) = 6

AP = AB (equilateral)

BP² = (4 - 1)² + (1 - y)² = 6²

1 - 2y + y² = 36 - 9 = 27

y² - 2y -26 = 0

y = ((-(-2)) ± √(-2)² - 4 x (-26)) / 2 = (2 ± √108) / 2 = 1 ± 5.2

y = 6.2 or y = -4.2

P (1 , 6.2) or P ( 1 , -4.2)

To find the possible coordinates of vertex C of an equilateral triangle with side AB on the coordinate plane, we calculate the midpoint of AB and use the length of the altitude to find two possible positions for C, approximated as (1, 6.2) and (1, -4.2).

Vanessa draws one side of an equilateral triangle on the coordinate plane at points A(-2, 1) and B (4, 1). To find the possible coordinates of vertex C, we first recognize that in an equilateral triangle, all sides are of equal length, and the altitude forms a 60-degree angle with the base.

Given points A(-2, 1) and B(4, 1), the distance AB is 6 units. Using the Pythagorean theorem in a 30-60-90 right triangle, the length of the altitude (half of the triangle height) from the midpoint of AB to C is 3√3. To find coordinate C, we add and subtract this distance from the midpoint of AB, which we calculate as ((-2 + 4)/2, (1 + 1)/2) = (1, 1).

Thus, the two possible coordinates for C are (1, 1 + 3√3) and (1, 1 - 3√3), which approximately are (1, 6.2) and (1, -4.2), rounding to the nearest tenth.

3/5 * (t + 41) = −3(3 − t)

t =

Answers

Answer:

T=14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

A factory makes bottled perfume. Each bottle is in the shape of a triangular prism, as shown below. If the factory is filling 27 such bottles, how much perfume will the factory need (in cubic centimeters)?

Answers

Answer:

2,916 cubic centimeters

Step-by-step explanation:

9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2

216/2 = 108 for each

108 x 27 = 2,916 cubic centimeters

All work was done by me, not Google

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